What is the factored form of x² - 6x - 16?

Solution:

The equation x² - 6x - 16 is a quadratic equation of the form ax² + bx + c

c = 16 has factors 1, 2, 4, 8 of which factors 8 and 2 can be used to factorize the given equation

x² - 8x + 2x - 16

x(x - 8) + 2(x - 8)

(x + 2)(x - 8)

Hence we obtain the factored form of the given equation.

What is the factored form of x² - 6x - 16?

Summary:

The factored form of x² - 6x - 16 is (x + 2)(x - 8)